椭圆曲线y~2=x~3+135x-278的整数点

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英文篇名：Points on the elliptic curve y~2=x~3+135x-278 作者：崔保军 英文作者：CUI Baojun;Department of Mathematics, Gansu Normal University for Nationalities; 关键词：椭圆曲线 ; 同余 ; 整数点 ; 递推序列 英文关键词：elliptic curve;;congruence;;integral point;;recurrent sequence 中文刊名：AHDX 英文刊名：Journal of Anhui University(Natural Science Edition) 机构：甘肃民族师范学院数学系; 出版日期：2019-03-15 出版单位：安徽大学学报(自然科学版) 年：2019 期：v.43 基金：甘肃省教育厅科研基金资助项目(2016B111) 语种：中文; 页：AHDX201902004 页数：5 CN：02 ISSN：34-1063/N 分类号：33-37

摘要

运用同余、递归序列等初等方法讨论了椭圆曲线y~2=x~3+135x-278上整数点的问题,证明该曲线仅有整数点(x,y)=(2,0),(14,±66),(284 594,±151 823 364).
        Using elementary methods such as congruence and recurrent sequence, it was proved that elliptic curve y~2=x~3+135x-278 has only integral points(x,y)=(2,0),(14,±66),(284 594,±151 823 364).

引文

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